Home
Class 11
CHEMISTRY
For a 3s - orbital, value of Phi is give...

For a 3s - orbital, value of `Phi` is given by following realation:
`Psi(3s)=(1)/(9sqrt(3))((1)/(a_(0)))^(3//2)(6-6sigma+sigma^(2))e^(-sigma//2)," where " sigma=(2r.Z)/(3a_(0))`
What is the maximum radial distance of node from nucleus?

A

`((3+sqrt(3))a_(0))/(Z)`

B

`(a_(0))/(Z)`

C

`(3)/(2)((3+sqrt(3))a_(0))/(Z)`

D

`(2a_(0))/(Z)`

Text Solution

Verified by Experts

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CHEMICAL EQUILIBRIUM

    NARENDRA AWASTHI|Exercise Level 2|1 Videos

Similar Questions

Explore conceptually related problems

Calcuted the distance of spherical nodes for '3s' orbital from nucleus ? R_(3s)=(1)/(9sqrt3a_(0)^(3//2))(6-6sigma+sigma^(2))e^((sigma)/(2)) Where sigma=(2r)/(na_(0))

For an orbital in B^(+4) radial function is : R(r ) = (1)/(9sqrt(6))((z)/(a_(0)))^((3)/(4))(4-sigma)sigma e^(-sigma//2 where sigma = (Zr)/(a_(0)) and a_(0)=0.529Å,Z = atomic number, r= radial distance from nucleus. The radial node of orbital is at distance from nucleous.

Knowledge Check

  • For a 3s-orbital Phi(3s)=(1)/(asqrt(3))((1)/(a_(0)))^(3//2)(6-6sigma+sigma^(2))in^(-sigma//2) where sigma=(2rZ)/(3a_(sigma)) What is the maximum radial distance of node from nucleus?

    A
    `((3+sqrt(3))a_(sigma))/(Z)`
    B
    `(a_(sigma))/(Z)`
    C
    `(3)/(2)((3+sqrt(3))a_(sigma))/(Z)`
    D
    `(3a_(sigma))/(Z)`

  • For an orbital , Psi_(300) = (1)/(81sqrt3 pi) ((z)/(a_(0)))^(3//2)[27 - 18u + 2u^(2)]"exp" ((-u)/(3)) where u = (zr)/(a_(0)) What is the maximum radial distance of node from nucleus of He^(+) ion ?

    A
    `(3 + sqrt3) (3a_(0))/(2)`
    B
    `(3 + sqrt3) (3a_(0))/(4)`
    C
    `a_(0)`
    D
    `(a_(0))/(2)`

  • Given the H- atom R_(n,l) = (1)/(9sqrt(3))((1)/(a_(o)))^(3//2)(6 - 6sigma + sigma^(2))e^(-sigma//2) where sigma = (2Zr)/(na_(o)), a_(o) = 0.53Å Select the correct statement for the given orbital ?

    A
    Orbital is `3s`
    B
    Graph for the given orbital is :
    C
    Distance between radial nodes is equal to `3sqrt(3) a_(o)`
    D
    None of these

    • Similar Questions

    Explore conceptually related problems

    The Schrodinger wave equation for hydrogen atom of 4s- orbital is given by : Psi (r) = (1)/(16sqrt4)((1)/(a_(0)))^(3//2)[(sigma^(2) - 1)(sigma^(2) - 8 sigma + 12)]e^(-sigma//2) where a_(0) = 1^(st) Bohr radius and sigma = (2r)/(a_(0)) . The distance from the nucleus where there will be no radial node will be :

    According to qauntum mechanical model of H-like species, and electron can be represented by a wave function (psi) which contain all dynamic information about the electron. The nature of wave function depends on the type of the orbital to which the electron belongs. For an orbital psi=[sqrt(2)/(81sqrt(3pi))]((1)/(a_(0)))^(3//2)(27-18sigma+2sigma^(2))e^((sigma)/(3)) Where, sigma =((Zr)/(a_(0))),r = radial distance from nucleous, a_(0)=52.9"pm" The number of radial and angular nodes possible for the orbital given above are respectively

    According to qauntum mechanical model of H-like species, and electron can be represented by a wave function (psi) which contain all dynamic information about the electron. The nature of wave function depends on the type of the orbital to which the electron belongs. For an orbital psi=[sqrt(2)/(81sqrt(3pi))]((1)/(a_(0)))^(3//2)(27-18sigma+2sigma^(2))e^((sigma)/(3)) Where, sigma =((Zr)/(a_(0))),r = radial distance from nucleous, a_(0)=52.9pm Which of the following represents the position of one of the radial nodes?

    According to qauntum mechanical model of H-like species, and electron can be represented by a wave function (psi) which contain all dynamic information about the electron. The nature of wave function depends on the type of the orbital to which the electron belongs. For an orbital psi=[sqrt(2)/(81sqrt(3pi))]((1)/(a_(0)))^(3//2)(27-18sigma+2sigma^(2))e^((sigma)/(3)) Where, sigma =((Zr)/(a_(0))),r = radial distance from nucleous, a_(0)=52.9pm The orbital could possibly be

    The wave function of 3s and 3p_(z) orbitals are given by : Psi_(3s) = 1/(9sqrt3) ((1)/(4pi))^(1//2) ((Z)/(sigma_(0)))^(3//2)(6=6sigma+sigma)e^(-sigma//2) Psi_(3s_(z))=1/(9sqrt6)((3)/(4pi))^(1//2)((Z)/(sigma_(0)))^(3//2)(4-sigma)sigmae^(-sigma//2)cos0, sigma=(2Zr)/(nalpha_(0)) where alpha_(0)=1st Bohr radius , Z= charge number of nucleus, r= distance from nucleus. From this we can conclude:

    Home
    Profile